Transcription of Linear Programming Lecture Notes
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Linear Programming Lecture Notes
Linear Programming : Penn State Math 484 Lecture NotesVersion Griffin 2009-2014 Licensed under a Creative Commons Attribution-Noncommercial-Share Alike United States LicenseWith Contributions By:Bob Pakzad-HursonGreg FerenceVeselka KafedzhievaMichael ClineAkinwale AkinbiyiEthan WrightRichard BenjaminDouglas MercerContentsList of FiguresvPrefaceixChapter 1. Introduction to Optimization11. A General maximization Formulation22. Some Geometry for Optimization43. Gradients, Constraints and Optimization10 Chapter 2. Simple Linear Programming Problems131. Modeling Assumptions in Linear Programming142. Graphically solving Linear Programs Problems with Two Variables (BoundedCase)163. Formalizing The Graphical Method174.
3.2 Matlab input for solving the diet problem. Note that we are solving a minimization problem. Matlab assumes all problems are mnimization problems, so we don’t need to multiply the objective by 1 like we would if we started with a maximization problem.50 4.1 Examples of Convex Sets: The set on the left (an ellipse and its interior) is
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